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Finding the Fourth Proportional to 140,525.50, 210,767.14 and 51,758.21

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Solution

The fourth proportional to 140,525.50, 210,767.14 and 51,758.21 is: 77,629.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,525.50 : 210,767.14 = 51,758.21 : x
  2. Step 2: Convert to fraction form
    140,525.50/210,767.14 = 51,758.21/x
  3. Step 3: Cross multiply
    140,525.50x = 210,767.14 × 51,758.21
  4. Step 4: Simplify right side
    140,525.50x = 10,908,929,893.22
  5. Step 5: Solve for x
    x = 10,908,929,893.22/140,525.50
  6. Step 6: Final answer
    x = 77,629.54

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.